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242022442224 = 24329233746209
BaseRepresentation
bin1110000101100110101…
…0010110010011110000
3212010200221220221011110
43201121222112103300
512431130221122344
6303103352513320
723325353546553
oct3413152262360
9763627827143
10242022442224
11937063a4aa2
123aaa49ab840
1319a903a59c4
14b9dd10a69a
1564677a33b9
hex3859a964f0

242022442224 has 80 divisors (see below), whose sum is σ = 649560880800. Its totient is φ = 77557874688.

The previous prime is 242022442213. The next prime is 242022442231. The reversal of 242022442224 is 422244220242.

It is a junction number, because it is equal to n+sod(n) for n = 242022442191 and 242022442200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48769 + ... + 697440.

It is an arithmetic number, because the mean of its divisors is an integer number (8119511010).

Almost surely, 2242022442224 is an apocalyptic number.

242022442224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242022442224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324780440400).

242022442224 is an abundant number, since it is smaller than the sum of its proper divisors (407538438576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242022442224 is a wasteful number, since it uses less digits than its factorization.

242022442224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746482 (or 746476 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 242022442224 its reverse (422244220242), we get a palindrome (664266662466).

The spelling of 242022442224 in words is "two hundred forty-two billion, twenty-two million, four hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 233 348 464 466 696 699 932 1392 1398 1864 2796 3728 5592 6757 11184 13514 20271 27028 40542 54056 81084 108112 162168 324336 746209 1492418 2238627 2984836 4477254 5969672 8954508 11939344 17909016 21640061 35818032 43280122 64920183 86560244 129840366 173120488 173866697 259680732 346240976 347733394 519361464 521600091 695466788 1038722928 1043200182 1390933576 2086400364 2781867152 4172800728 5042134213 8345601456 10084268426 15126402639 20168536852 30252805278 40337073704 60505610556 80674147408 121011221112 242022442224